**Problem Description:**A box with a mass of 3.50 kg is initially at rest on a horizontal frictionless surface. You then pull on a string attached to the box, exerting a constant force \( F \) at an angle of 45° above the horizontal. This pull causes the box to travel 4.00 m horizontally in 2.00 s. Use \( g = 9.80 \, \text{m/s}^2 \).**Questions:**(a) First, find the box's acceleration by treating this as a one-dimensional constant-acceleration problem.\(\quad\) ________ m/s\(^2\)(b) Find the magnitude of the force \( F \).\(\quad\) ________ N(c) Find the magnitude of the normal force acting on the box.\(\quad\) ________ N

Given mass m = 3.50 kg Initial velocity u = 0 m/s Angle θ = 45o Displacement S = 4.00 m Duration t =…

Answered: A box with a mass of 3.50 kg is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Similar questions

The figure below shows an initially stationary block of mass m on a floor. A force of magnitude F = 0.510mg is then applied at upward angle 0 = 19°. (a) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are us = 0.590 and uk = 0.505? m/s? (b) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are ug = 0.395 and uk = 0.295? m/s2
A 124 kg crate is pushed at constant speed up a frictionless inclined plane of θ = 48 ° with the horizontal. Assuming one pushes with a horizontal force, what is the magnitude of the force F (in N) required to do this?
Two crates of fruit are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg. The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?
Q 5)A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal surface. The velocity function of body is v = t + 2 . find the following : 1) frictional force (fs ) 2) the coefficient of friction of surface (μ) . (answer fs =1.7 N , u =0.34)
A 112 kg crate is pushed at constant speed up a frictionless inclined plane of θ = 59 ° with the horizontal. Assuming one pushes with a horizontal force, what is the magnitude of the force F (in N) required to do this?
A monkey pushes a box of mass 25 kg in a straight line across a rough floor. The applied force F has magnitude 85 N and acts downward at an angle 0 = 10° with respect to the horizontal, as shown below. The box is initially at rest at the position x/ a). Find the coefficient of friction between the box and the floor. and it has speed v2 = 0.55 m/s at position x2 = 3.50 m. 0 m, b). What is the net work done? c). How much work (magnitude and sign) is done by the friction force? m Hint: this q involves constant acceleration, Newton's laws, work
A block of mass m = 14kg rests on an inclined plane with a coefficient of static friction of mu_{s} = 0.11 between the block and the plane. The inclined plane is L = 6.8m long and it has a height of h = 3.95 m at its tallest point a. What angle in degrees does the plans make with respect to the horizontal B.what is the magnitude of the normal force, Fn in newtons that acts on the block C. What component of the force of gravity along with the plan fgx in newton? Will the block slide?
A man is trying to push a 75.0 kg rock across the ground by applying a constant force P at an angle θ = 27.5 ̊ below the horizontal. The coefficients of friction between the rock and the ground are μk = 0.430 and μs = 0.570. (a) If the rock is initially at rest, what force does the man need to apply to get it to start moving? (b) If the rock is already in motion, what force does he need to apply to get it accelerate at 2.75 m/s2?
In the figure, a crate of mass m = 88 kg is pushed at a constant speed up a frictionless ramp (0 = 30°) by a horizontal force F.The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number 497.91 Units (b) Number i 995.82 Units
A parachutist whose mass is 75 kg drops from a helicopter hovering 2500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 20 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 30 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². The parachutist will reach the ground after (Round to two decimal places as needed.) seconds.

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