Two students are pushing crates across a frictionless floor. The crates are initially at rest. Bing applies a horizontal force of 13 N to his crate. Bob, who is taller than Bing, pushes on his crate at an angle of 53 degrees below the horizontal, also with a force of 13 N. Find the ratio of the masses of the two crates if Bing's crate is moving at twice the speed of Bob's crate after they have traveled a distance of 23.5 m across the floor?

An applied force of 42.3 N directed at an angle of -17.7 degrees with respect to the +x direction acts on a 2.95 kg mass that is initially at rest while on a horizontal surface. In moving a distance of 2.67 m in the +x direction, the object changes its kinetic energy by 31.5 J. What is the coefficient of kinetic friction

An electron is a subatomic particle (m= 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.31 x 105 m/s to a final velocity of 1.98 x 106 m/s while traveling a distance of 0.0545 m. The electron's acceleration is due to two electric forces parallel to the x axis: F₁ = 7.52 x 10-¹7 N, and F2, which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force F2. F₁ F₁ F₂ F₁ (a) Number i (b) Number i VO X Units Units

A force in the +x-direction with magnitude F(x) = 18.0 N - (0.530 N/m)x is applied to a 8.30 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box.

A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The coefficient of kinetic friction between the puck and the ice is 0.22. After a distance of 2.6 m, what is the puck's speed in m/s?

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Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?

A 20-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 28 N. Starting from rest, the sled attains a speed of 2.6 m/s in 9.4 m. Find the coefficient of kinetic friction between the runners of the sled and the snow.

Tom reached a speed of 29 m/s in the downhill skiing competition. Suppose he left the slope at that speed and then slid freely along a horizontal surface. If the coefficient of kinetic friction between his feet and the ground was 0.27 and his final speed was half of his initial speed, find the distance he traveled?

Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 139 kg. Under the influence of a drive force of 180 N, it is moving at a constant velocity whose magnitude is 5.43 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so. (a) S = (b) t = i i