A student is pulling a crate with a mass of 20.0 kg along a horizontal frictionless floor with a rope that’s inclined at an angle θ = 30.0° above the horizontal as shown. The tension force is measured to be 150 N. What is the magnitude of the acceleration, in m/s2? Use g = 10.0 m/s2.      q2 -  During your winter break, you enter a sled race. You push the sled with a force of 210 N at 30.0° below the horizontal as shown. The mass of the sled (and your nephew sitting on it) is 35.0 kg. The coefficients of friction between the sled and icy surface are μs = 0.35 and μk = 0.20. What is the magnitude of the acceleration of the sled, in m/s2? Use g = 10.0 m/s2.

A 30.77 kg boy slides down a water slide with a 45° slope. He was pushed by his friend with a 33.11 N force in a direction parallel to the slide. What is the magnitude of the acceleration (in m/s²) of the boy as he go down the slide? Asume the system looks like a right triangle.

A micro-transporter moves from one side of an evacuated chamber to another. It is powered by equal-magnitude, opposite-sign charges Q and -Q on top of two station points, as shown in (Figure 1). The transporter's mass is 1.0 g and it is carrying a positive charge of 9.0 x 10-10 C. The figure shows a micro-transporter located between two stations on a horizontal surface. Figure The left station has charge plus upper Q. The right station has charge minus upper Q. The transporter carries positive charge q. The transporter is 6.0 millimeters from the left station and 36.0 millimeters from the right station. +Q Station ( + Station 6.0 mm 36.0 mm

A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.40. Suddenly, the plane accelerates forward, its altitude remaining constant. What is the maximum acceleration that the plane can have without the cup sliding backward on the table? m/s2 Submit Answer 3. one so But P Type here to search ? 米 f7 1- esc IDI 10 f8 f9 f1o # & 2 3 4 9. 8. Q W E R T Y tab %24

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A sled and rider have a total mass of 61.0 kg. They are on a snowy hill. The coefficient of kinetic friction between the sled and the snow is 0.155. The angle of the hill's slope measured upward from the horizontal is 21.0°. What is the acceleration of the rider? |m/s² Is the acceleration greater, less than, or equal to your result if a more massive rider uses the same sled on the same hill? Explain. O Greater than: the acceleration scales according to the mass of the rider. O Greater than: the acceleration scales according to the ratio of the masses of the rider and sled. O Less than: the acceleration scales according to the ratio of the masses of the rider and sled. O Equal to: the acceleration is independent of mass. O Equal to: the acceleration scales according to the mass of the sled.

Three boxes are pulled along a horizontal frictionless floor by a constant horizontal pull P. The boxes are connected by very light horizontal strings having tensions T1 and T2 as shown in the figure. Which of the following statements about the tensions is correct? T₂ T₁ 10 20 N N 100 N O A.T1 > T2 OB.T1 = P OC. T2 = P O D. T2 > T1 P

1. A student throws a broken cellphone with a velocity of 100.0 m/s at 60.0 degrees with the horizontal. Neglecting air resistance, what is the magnitude of its velocity after 1s?2. A 120-N weight is hung from two ropes as shown. The tension force of the horizontal rope has magnitude:3. A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s. If the worker stops pushing at the end of 5.00 s, how far does the block move in the next 5.00 s?4. A 50-kg sack of rice, resting on the ground, is dragged by a 100-N force at 30 degrees with the horizontal. What is the acceleration of the sack?5. A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s. What is the mass of the block of ice?

6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and opposite to their velocity, with drag coefficient b= 11 N/(m/s). Also assume acceleration due to gravity is g = 9.8 m/s². The velocity of the diver changes with time, as modelled by the following differential equation. m = -mg-bv dv dt Solve for u(t)= the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x

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