A unloaded car moving with velocity u on a frictionless road can be stoppėd in 'a distance s. If the passengers add 40% to its weight and breaking force remains the same, the stopping distance at velocity u is now (a) (1.4)° s 1 (b) (1.4)? (d) (1.4)² s S (c) 1.4 s
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- A skier on a 25° slope and his mass is 80 kg. If his constant velocity and thecoefficient of kinetic friction between the ski and the snow is 9m/sand 0.80, respectively, compute his velocity when he has skid 20m from his initialposition and a drag force experienced by the skier equivalent to a magnitude of 0.6V^2.show solution plsA 450-N is in contact with a level plane of fk = 0.10. If the block is acted upon by a horizontal force of 75N, what time will elapse before the block reaches a velocity of 15m/s, starting from rest?To simulate the apparent weightlessness of space orbit, astronauts are trained in the hold of a cargo aircraft that isaccelerating downward at g . Why will they appear to be weightless, as measured by standing on a bathroom scale, in thisaccelerated frame of reference? Is there any difference between their apparent weightlessness in orbit and in the aircraft?
- Two masses are connected by a light string that passes over a frictionless pulley, as shown below. The masses are m1 = 6.00 kg, and m2 = 7.00 kg. If the coefficient of friction between the incline and m2 is 0.200 and the angle of the incline is 35.0°, find (a) acceleration of the two masses, (b) the tension in the string, and (c) the speed of each mass 2.00 s after being released from rest. Also, determine (d) what m2 would have to be in order to have the system accelerate in the direction opposite of what you found in (a). Assume m1 stays at 6.00 kg.a hanging lamp of weight 50 N hangs from a chord that is knotted at point O to other chords, one fastened to the ceiling and the other to the wall. We want to find the tension in three chords, assuming the weight of the chords to be negligibleTwo masses are connected by a light string that passes over a frictionless pulley, as shown below. The masses are m1 = 6.32 kg, and m2 = 7.51 kg. If the coefficient of friction between the incline and m2 is 0.232 and the angle of the incline is 35.0°, find (a) acceleration of the two masses, (b) the tension in the string, and (c) the speed of each mass 2.11 s after being released from rest. (d) Also, determine what m2 would have to be in order to have the system accelerate in the direction opposite of what you found in (a). Assume m1 stays at the same. Note: this problem needs to be done using forces and FBDs - no credit will be given for doing it any other way.
- A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is resisted by a force f = kmυ2, show that the time required to move a distance d after starting from rest is where θ is the angle of inclination of the plane.The force F acting on a particle constrained to move along the x-axis is given by the fucntionSuppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,
- A skier is on a 25 degree slope and his mass is 80kg. If his constant velocity and the coefficient of kinetic friction between the ski and the snow is 9 m/s and 0.80, respectively, compute his velocity when he has skid 20m from his initial position and a drag force experienced by the skier equivalent to a magnitude of 0.6V^2.A projectile of mass [m] is launched with initial velocity [v0] at angle [theta] from the +x direction. From the origin, the projectile is connected toa massless spring with force constant k, as shown. From the equations of motion, one can show that the horizontal and vertical positions of the mass as functions of time can be written asx(t) = A cos wt + B sin wty(t) = C cos wt + D sin wt + Eprovided that the coefficients satisfy the conditions that initially, x(0) = y(0) = 0,vx (t = 0) = v0 cos [theta], and vy (t = 0) = v0 sin [theta]. Determine the coefficients A,B,C,D, and E in termsof the given variables.A skier on a 25° slope and his mass is 80 kg. If his constant velocity and thecoefficient of kinetic friction between the ski and the snow is 9m/sand 0.80, respectively, compute his velocity when he has skid 20m from his initialposition and a drag force experienced by the skier equivalent to a magnitude of 0.6V^2. SHOW COMPLETE SOLUTION.