MCAT Set 6

A deep-sea research module has a volume of 150 . If ocean water has an average density of 1,025 kg/ , what will be the buoyant force on the module when it is completely submerged in the water? (Note: The acceleration due to gravity is 9.8 m/ .)

If a spring is 64 cm long when it is unstretched and is 8% longer when a 0.5-kg mass hangs from it, how long will it be with a 0.4-kg mass suspended from it?

Which of the following will halve the magnitude of the electrostatic force of attraction between two charged particles?

Which of the following is true when ice melts?

When softball players take batting practice, they often use a machine called an "automatic pitcher," which is essentially a cannon that uses air pressure to launch a projectile. In a prototype automatic pitcher, a softball is loaded into the barrel of the cannon and rests against a flat disk. That disk is locked into place, and a high air pressure is built up behind it. When the disk is released, the softball is pushed along the barrel of the cannon and ejected at a speed of . Figure 1 shows the batter and automatic pitcher. The angle of the barrel to the horizontal is . The unit vectors I and j point in the horizontal and vertical directions respectively. Figure 1 The height above the ground y of the softball as a function of time t is shown in Figure 2, where t = 0 at Point A, t = at Point B, and t = at Point C. The softball is ejected from the barrel of the cannon at Point A; it reaches its maximum height at Point B; and the batter hits the softball at Point C. (Note: Assume that the effects of air resistance are negligible unless otherwise stated.) Figure 2 What physical quantity is NOT the same at Point C as at Point A?

When softball players take batting practice, they often use a machine called an "automatic pitcher," which is essentially a cannon that uses air pressure to launch a projectile. In a prototype automatic pitcher, a softball is loaded into the barrel of the cannon and rests against a flat disk. That disk is locked into place, and a high air pressure is built up behind it. When the disk is released, the softball is pushed along the barrel of the cannon and ejected at a speed of . Figure 1 shows the batter and automatic pitcher. The angle of the barrel to the horizontal is . The unit vectors I and j point in the horizontal and vertical directions respectively. Figure 1 The height above the ground y of the softball as a function of time t is shown in Figure 2, where t = 0 at Point A, t = at Point B, and t = at Point C. The softball is ejected from the barrel of the cannon at Point A; it reaches its maximum height at Point B; and the batter hits the softball at Point C. (Note: Assume that the effects of air resistance are negligible unless otherwise stated.) Figure 2 What is the acceleration of the softball t seconds after it exits the barrel?

When softball players take batting practice, they often use a machine called an "automatic pitcher," which is essentially a cannon that uses air pressure to launch a projectile. In a prototype automatic pitcher, a softball is loaded into the barrel of the cannon and rests against a flat disk. That disk is locked into place, and a high air pressure is built up behind it. When the disk is released, the softball is pushed along the barrel of the cannon and ejected at a speed of . Figure 1 shows the batter and automatic pitcher. The angle of the barrel to the horizontal is . The unit vectors I and j point in the horizontal and vertical directions respectively. Figure 1 The height above the ground y of the softball as a function of time t is shown in Figure 2, where t = 0 at Point A, t = at Point B, and t = at Point C. The softball is ejected from the barrel of the cannon at Point A; it reaches its maximum height at Point B; and the batter hits the softball at Point C. (Note: Assume that the effects of air resistance are negligible unless otherwise stated.) Figure 2 How will change if the impulse on the softball remains the same but its mass is doubled?

When softball players take batting practice, they often use a machine called an "automatic pitcher," which is essentially a cannon that uses air pressure to launch a projectile. In a prototype automatic pitcher, a softball is loaded into the barrel of the cannon and rests against a flat disk. That disk is locked into place, and a high air pressure is built up behind it. When the disk is released, the softball is pushed along the barrel of the cannon and ejected at a speed of . Figure 1 shows the batter and automatic pitcher. The angle of the barrel to the horizontal is . The unit vectors I and j point in the horizontal and vertical directions respectively. Figure 1 The height above the ground y of the softball as a function of time t is shown in Figure 2, where t = 0 at Point A, t = at Point B, and t = at Point C. The softball is ejected from the barrel of the cannon at Point A; it reaches its maximum height at Point B; and the batter hits the softball at Point C. (Note: Assume that the effects of air resistance are negligible unless otherwise stated.) Figure 2 What is the ratio of the horizontal distance traveled by the softball at Point B to the horizontal distance traveled at Point C?

When softball players take batting practice, they often use a machine called an "automatic pitcher," which is essentially a cannon that uses air pressure to launch a projectile. In a prototype automatic pitcher, a softball is loaded into the barrel of the cannon and rests against a flat disk. That disk is locked into place, and a high air pressure is built up behind it. When the disk is released, the softball is pushed along the barrel of the cannon and ejected at a speed of . Figure 1 shows the batter and automatic pitcher. The angle of the barrel to the horizontal is . The unit vectors I and j point in the horizontal and vertical directions respectively. Figure 1 The height above the ground y of the softball as a function of time t is shown in Figure 2, where t = 0 at Point A, t = at Point B, and t = at Point C. The softball is ejected from the barrel of the cannon at Point A; it reaches its maximum height at Point B; and the batter hits the softball at Point C. (Note: Assume that the effects of air resistance are negligible unless otherwise stated.) Figure 2 How does the work done by the automatic pitcher change as the angle of the barrel to the horizontal increases?

A researcher investigated the equilibrium between , C, and CO as a function of temperature. The equation is given below: (g) + C(s) 2 CO(g) Carbon dioxide, at 298 K and 1 atm, and an excess of powdered carbon were introduced into a furnace, which was then sealed so that pressure would increase as the temperature rose. The furnace was heated to, and held constant at, a predetermined temperature. The pressure within the furnace chamber was recorded after it had remained unchanged for one hour. The table below shows the pressures recorded for a series of temperatures together with the pressures expected if no reaction had taken place. Table 1 T (K) (P recorded after reaction, in atm) (P expected without reaction, in atm) 1,000 1,050 1,200 3.4 3.8 4.3 5.0 7.2 3.0 3.2 3.4 3.5 4.0 When the system stabilized at 1,200 K, a sample of helium was injected into the furnace. What should happen to the amount of carbon dioxide in the system?