A clarinetist, setting out for a performance, grabs his 3.290 kg clarinet case (including the clarinet) from the top of the plan carries it through the air with an upward force of 37.12 N. Use g = 9.810 m/s² for the acceleration due to gravity. Find the case's vertical acceleration a. Let up define the positive direction. a= and m/s²
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- Two forces act on a 2.90 kg object, the gravitational force and a second, constant force. The object starts from rest and in 1.20 s is displaced (4.10 3.30ĵ) m. Write the second force in unit vector notation. (Enter your answer in kg. m/s². Assume the gravitational force acts in the -ĵ direction.) kg. m/s² FAt launch a rocket has a mass of 3.66×104 kg, and the thrust of the engines is 5.34×105 N. If the rocket is launched straight upwards from the surface of Earth, what is the initial acceleration of the rocket? Take upwards to be the positive direction. Express your answer in m/s2 to 3 significant figures. Use g=9.81 m/s2.As a science fair project, you want to launch an 950 g model rocket straight up and hit a horizontally moving target as it passes 40.0 m above the launch point. The rocket engine provides a constant thrust of 19.4 N. The target is approaching at a speed of 16.0 m/s At what horizontal distance between the target and the rocket should you launch? Express your answer with the appropriate units. _O Di μA Value Submit Units Request Answer ?
- A rocket sled decelerates at a rate of a =197 m/s^2. Its passenger has a mass of 73.5 kg. a. Calculate the horizontal component of the force the seat exerts against his body. b. Compare his weight by using a ratio. The horizontal component of the forice is how many times his weight. Calculate the magniture and direction of the total force the seat exerts against his body.A crate of mass m=66.2 kg is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F=11.2 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of φ = 37.4∘ with horizontal, as shown. A. Write an expression for the magnitude of the acceleration of the crate in terms of F, m, and φ. B. What is the magnitude of the acceleration of the crate in m/s2?Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 6.2-kg projectile from rest to a speed of 3.1 × 103 m/s. The net force accelerating the projectile is 4.8 × 105 N. How much time is required for the projectile to come up to speed?Type your answer here Units Choose your answer here
- Fernanda is standing on a scale while riding an elevator. The elevator accelerates upward from rest to 1.8m/s1.8m/s in 2.0 s. If the scale reads 720 N while the elevator is accelerating upwards, what is Fernanda’s mass?A cart of mass 8.0kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0 degrees, and Force 2 is 13.0N at 110 degrees. Initially, the cart has a velocity of (3.50i + 2.20j)m/s. a. Express the two forces in unit-vector notation.b. Find the total force exerted on the cart.c. Find the angle at which the total force is applied.d. What is the acceleration of the cart?e. What is the cart's velocity after 5.0s?f. What is the position of the cart after 5.0s?g. What is the angle of the position after 5.0s?h. What is the total work done by the two applied forces?A friction experiment is performed on a planet that has the same mass as Earth but half the radius. A 1.0-kg block is pulled along a horizontal dynamics track with a horizontal force of magnitude 15.0 N. If the coefficient of kinetic friction between the block and the track is 0.3, determine the acceleration of the block. O a. 14.26 m/s^2 O b. 12.06 m/s^2 O. 3.24 m/s^2 Od. 15.00 m/s^2
- 9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.A boulder is being pushed by two different people on a flat terrain. The net force on the boulder can be expressed in the Cartesian coordinate system as vector f = (-4i + 5.5j)N. Where I and j denote directions to the east and north. A. Find the magnitude in N B. Find the direction (in degrees counterclockwise from the east axis) of the push.2. An air track is set to be perfectly level on a lab table, and the glider (total mass 120 grams) is attached by a string of negligible mass, over a pulley with negligible friction, to a hanging mass of 75 grams. Sketch the system, and include arrows to show all the forces acting on the two objects (glider and hanging mass). (b) Label all the force vectors with their magnitudes. (c) Write an equation for Newton's 2nd Law for each of the two objects. (d) Solve for the acceleration of the glider and the tension in the string.