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A 1200-kg SUV is moving along a straight highway at 12.0 m/s. Another car, with mass 1800
kg and speed 20.0 m/s, has its center of mass 40.0 m ahead of the center of mass of the SUV
(Fig. E8.54). Find (a) the position of the center of mass of the system consisting of the two
cars; (b) the magnitude of the system’s total momentum, by using the given data; (c) the
speed of the system’s center of mass; (d) the system’s total momentum, by using the speed
of the center of mass. Compare your result with that of part (b).
Find the total pressure ‘A’ at the bottom of the jar, 50 cm in height. The mass of the liquid is 4300 kg and the volume is 0.055 m3. The atmospheric pressure on Earth is 101.3 kPa.
relative to the Earth, spaceship A moves in one direction with speed 0.8c and another spaceship, B, moves in the opposite direction with speed 0.6c. What is the speed of spaceship A as measured by B?
A point moves with constant speed t in a direction which forms an angle with the x-axis of the frame of reference S'. Frame S' moves with a velocity V = Và relative to another frame of reference Ss. What is the angle 0 formed by the direction of motion of the point with the x-axis of S? What is the relationship between the two angles as v - c? f sin sin d Ans.: tan 0 = tan e
you want to lift a heavy box with a mass of 98 kg using the two pulley system as shown. with what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity?
Ben has a gold bar that weighs 72N. He then suspended the gold bar by a light cord. When the gold bar is fully immersed in water (ρwater = 1.00 ×10^3 kg/m^-3), the tension in the cord is 40N. When the gold bar is fully immersed in an unknown liquid, the tension is 25N. What is the density of the unknown liquid?
A projectile is projected with a velocity u such that it's range is twice the greatest height attached then it's range is given by
A rocket is headed away from Earth at a speed of 0.80c. The rocket fires a small
payload at a speed of 0.70c (relative to the rocket) aimed away from Earth. How
fast is the payload moving relative to Earth?
(a) 1.50c;
(b) a little less than 1.50c;
(c) a little over c;
(d) a little under c;
(e) 0.75c.
A volleyball is spiked so that its incoming velocity of + 5.0 m/s is changed to an outgoing velocity of -15 m/s. The mass of the volleyball is 0.35 kg. What impulse does the player apply to the ball? Remember an impulse is a change in momentum.
A 500 g bar of ice is initially at -25 °C. Calculate the amount of energy required to vapourize 25% of the substance at 100 °C.
