Maximum Height of Block on Compressed Spring

1. T101Q7. A spring is compressed a distance of h = 9.80 cm from its relaxed position and a 2.00 kg block is put on top of it (Figure 3). What is the maximum height, H, that the block will reach when the spring is released? The spring constant is k = 2.00 ×103 N/m. (Ans: 49.0 cm • T101Q8. A man pulls a 100-N crate up a frictionless 30.0° - incline to a height 5.00 m, as shown in Figure 4. Assuming that the crate moves at a constant speed, the work done on the crate by the man is: A) +500 J • T101Q6. A projectile is fired from a height of 35 m with a speed of 30 m/s as shown in Figure 2. Find its speed when it hits the ground. Ignore air resistance. • 40 m/s • T102Q7. As shown in Figure 2, a block of mass m = 1.35 kg is held against a compressed spring of spring constant k = 560 N/m. The spring is compressed by x = 0.110 m. The block is released and slides a distance d = 0.650 m to point A. Find the speed of the block at point A if the coefficient of kinetic friction between the block and the surface is k = 0.200. (A: 1.57 m/s • T102 Q5. A small mass suspended from a string of length 0.20 m is pulled sideways until the string makes an angle  = 60 with the vertical. It is then released from rest. Find the speed of the mass when it passes through the lowest point of its path during its motion. (Ans:1.4 m/s • T092 Q5. A 3.0 kg block starts from rest on a rough inclined plane that makes an angle of 35o with the horizontal as shown in Figure 5. As the block moves 2.0 m down the incline, its speed is 4.0 m/s. Find the value of the coefficient of kinetic friction between the block and the incline. A) 0.2

2. T092Q4. Figure 4 shows two equal forces of magnitude F = 10 N acting on a box as the box slides to the right across a frictionless floor. The speed of the box at a certain instant is 4.0 m/s. Calculate the net power due to these two forces at that instant? (A) 20 W • T092Q7. A 2.0 kg object is thrown vertically upward with an initial speed of 30 m/s. After moving a vertical distance of 25 m, its speed is 5.0 m/s. How much work is done by the air resistance on the object during this upward motion? A) − 385 J • T091 Q4. Figure 2 shows an object of mass m = 1.00 kg starting from rest. It first slides a distance 45.0 cm down a frictionless inclined surface and then slides across a rough horizontal surface whose coefficient of kinetic friction is 0.150. What is the maximum distance d travelled by the object across the horizontal surface? A) 103 cm • T091Q6. A block of mass 0.75 kg is free to move on a horizontal surface where μk = 0.25. The block is placed against a spring with a spring constant k = 83 N/m. The spring is compressed 0.10 m and then the block is released from rest. Find the speed of the block just as it leaves the spring. A) 0.79 m/s • T091Q7. A block of mass 2.00 kg is released from rest and slides down a rough track of radius R = 1.00 m as shown in Figure 4. If the speed of the block at the bottom of the track is 4.00 m/s, what is the work done by the frictional force acting on the block? • − 3.60 J