If the 50-kg crate starts from rest and attains a speed of 6 m/s when it has traveled a distance of 15 m, determine the force P acting on the crate. The coefficient of kinetic friction between the crate and the ground is μ = 0.3.
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- A ball of mass 2 kilograms is loaded into a spring gun which is pointed vertically upward. At t = 0 seconds, the spring gun exerts an upward force of 100 newtons for 1 second. Assuming a drag coefficient of 0.3 kilograms per second and drag proportional and against the velocity, give a second-order equation and initial conditions for vertical position y in meters of the ball that is initially at rest. Use g = 9.8 meters per second per second and assume the initial position is 0.A 2.80-kg block starts from rest at the top of a 30.0° incline and slides a distance of 1.70 m down the incline in 1.20 s. Find the magnitude of the acceleration of the block. Find the coefficient of kinetic friction between block and plane. Find the friction force (magnitude and direction) acting on the block. Find the speed of the block after it has slid 1.70 m (m/s).A 10.2-kg box is sliding across a horizontal floor. It has an initial speed of 1.25m / s and the only force acting on it is kinetic friction with magnitude f(k)= 2.35N .Determine the distance the box will travel before coming to rest
- 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.It was a snow day, so Eric and some friends went sledding. He boarded his 60-inch sled and descended the steepest section near the tall trees. Before his ride ended at the location of a tree stump buried a few inches below the snow, he was accelerating at 2.41 m/s/s down the 20.1° incline. Determine the coefficient of friction between the sled and the snow. (Coefficients of friction are positive, so use the absolute value of your answer.) Use the approximation g ≈ 10 m/s2.A 3.00-kg block is sent up a ramp inclined at an angle 0 = 27.0° from the horizontal. It is given an initial velocity vo = 15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is µ = 0.30 and the coefficient of static friction is µ, = 0.80. What distance D along the ramp's surface does the block travel before it comes to a stop? D =
- A sled is traveling 4.00m/s along a horizontal stretch of snow. The coefficient of kinetic friction is k = 0.0500. How far does the sled go before stopping?A 1090 kg boat is traveling at 92 km/h when its engine is shut off. The magnitude of the frictional force ?→?f→k between boat and water is proportional to the speed v of the boat: fk = 85v, where v is in meters per second and fk is in newtons. Find the time required for the boat to slow to 46 km/h.A skater with an initial speed of 8.10 m/s stops propelling himself and begins to coast across the ice, eventually coming to rest. Air resistance is negligible.(a) The coefficient of kinetic friction between the ice and the skate blades is 0.135. Find the deceleration caused by kinetic friction.(b) How far will the skater travel before coming to rest? a = + - units x = units
- Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since t e skydiver has jumped: vec 2 (F)(t) = (0.5t)ha (x) + (0.11 +0.3t)hat(y) a) Create a air free body diagrar for the skydiver at t = 2 seconds. b) - What is the net for e acting on the skydiver at t = 2 seconds? c) What i the magnitude of the acceleration of the skydiver at t = 2 seconds? Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since the skydiver has jumped: Fair (t) = (0.5t)2 + (0.12 + 0.3t)ŷ a) Create a free-body diagram for the skydiver at t = 2 seconds.…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?Problem 4: A crate of mass m is initially at rest at the highest point of an inclined plane, which has a height of 4.3 m and has an angle of 0 = 22° with respect to the horizontal. After being released, you perceive it to be moving at v = 0.15 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the crate and the plane is u, = 0.1, and the y coefficient of friction on the horizontal surface is u, = 0.2. initial Final h d Otheexpertta.com Part (a) What is the speed of the crate, in meters per second, just after it leaves the inclined plane? Vbottom = sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 6 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() + END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. Part (b) Find the distance, d, in meters. All content © 2021 Expert TA, LLC