Given is:-
Initial velocity of the block 
angle of inclination 
Now,
the free body diagram will be as shown below:-

Thus the declearation along the surface will be

by plugging all the values we get


Now
using third equation of motion we get


which gives us

Hence
the block slides for 2.39m before coming to rest
1. 12 points PSE6 5.P.025. My Notes A block is given an initial velocity of 4.00...
A block is give an initial velocity of 5.00 ms up a frictionless 22.0 incline. (Figure P5.22) How far up the incline does the bleck slide before coming (momentarily) to rest? Figure P5.22
4.12 points PSE6 5.P058. My Notes A block of mass m 2.00 kg is released from rest h0.700 m from the surface of a table, at the top of a 20.0° incline as shown in Figure P5.58. The frictionless incline is fixed on a table of height H 2.00 m Figure P5.58 (a) Determine the acceleration of the block as it slides down the incline. (b) What is the velocity of the block as it leaves the incline? (c) How...
A block is given an initial velocity of V, and fired up on a frictionless incline as shown below. It travels a distance d=2.4 m up the incline before momentarily coming to a stop. If the angle - 37 degrees, find the initial velocity of the block (25 pts) VO
4. +-12 points PSE6 2.P.043. My Notes A student throws a set of keys vertically upward to her sorority sister, who is in a window 3.90 m above. The keys are caught 1.30 s later by the sister's outstretched hand. (a) With what initial velocity were the keys thrown? m/s upward (b) What was the velocity of the keys just before they were caught? m/s Select--
Consider a block of wood given an initial velocity directed up an incline of angle θ. It reaches some maximum distance up the incline, turns around, and slides back down. There is friction present. Take the motion of the block to be after any push necessary to provide the initial velocity. (a) Draw and label separate free body diagrams (FBDs) for (i) the motion up the incline and (ii) the motion back down. Include coordinate axes and indicate acceleration. (b)...
Need Help? Read it Master 5. -/10 points SerCP10 4.P.030. My Notes A block of mass m - 5.7 kg is pulled up a 0 -21° incline as in the figure below with a force of magnitude F-35 N. (a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.) (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude...
A block of wood of mass m = 1kg is pushed with an initial velocity of 1m/s down a ramp that makes an angle of 30 degrees with the horizontal. The coefficient of kinetic friction is 0.6. How far along the ramp does it slide before coming to rest?
+ -/1 points My Notes 4 A block of mass m = 5.10 kg is pulled up a 0 = 24.0° incline as in the figure below with a force of magnitude F = 37.0 N. (a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.) 6.63 m/s2 (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.120. (Give the magnitude of...
12 points PSE6 2.P.043 My Note A student throws a set of keys vertically upward to her sorority sister, who is in a window 3.70 m above. The keys are caught 1.30 s later by the sister's outstretched hand (a) With what initial velocity were the keys thrown? m/s upward (b) What was the velocity of the keys just before they were caught? m/s -Select ka
2. 2. 12 points PSE6 2.P.015. My Notes A particle moves along the x axis according to the equation x = 1.90 + 3.04t t2, where x is in meters and t is in seconds. (a) At t 2.90 s, find the position of the particle. (b) What is its velocity? (c) What is its acceleration? m/s 2 m/s