Suppose you hang a 1.0 kg mass from a spring scale. But this time, instead of holding your hand still so that the acceleration is zero, you let your arm drop so that the mass accelerates downward at 5.2 m/s2. What force (how many Newtons) will the spring scale read while this acceleration is happening?

A sleigh is pulled horizontally by reindeer, and is accelerating at 6 m/s². If there is no friction, and the mass of the sleigh is 95 kg, what is the tension in the rope attached to the sleigh? Answer in Newtons.

A skydiver weighing 203 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 14 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10 |v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(14) = i (b) Find the distance fallen before the parachute opens. x (14) = i ft ft/s (c) What is the limiting velocity after the parachute opens? UL = i ft/s

A 45 kg box hangs from a rope. What is the tension in the rope if:(a) the box is at rest?(b) the box is rising with a constant velocity of 4.0 m/s?(c) the box is rising and speeding up at 4.5 m/s2?

Assume motion in one dimension. You want to determine the mass of an object, by applying a known force F to it and measuring the objects acceleration a. However, there is also an unknown resistive force -f acting on the object, so that the net force is Fnet = F - f. In addition, your force sensor drifts slightly, so that its readings are not very accurate. You therefore make 4 measurements. For F = 1, 2, 3, and 4 N you measure the accelerations 6.26, 12.21, 19.26, and 26.39 m/s². respectively. Enter these data into an Excel spreadsheet and produce a graph of F versus a. Add a trendline, and Choose "Linear", "Display equation on chart". Do NOT set the intercept equal to zero. Format the trendline label so that it shows 3 decimal places. Assume F f = ma, or F = ma + f. The y-intercept of the trendline represents the unknown resistive (frictional) force. What is the magnitude of this force in N? Enter a number with 3 digits behind the decinal point.

If you are floating in outer space, and you need to change your motion in order to get back to the safety of your spaceship. You throw your shoe away with a force of 320 Newtons, which means the shoe pushes back on you with a force of 320 Newtons. If you have a mass of 61 kg, what is the magnitude of your acceleration?

You have gone skiing at the Poconos. You (mass 45 Kg) are being pulled up a 300 snow-covered slope by a tow rope at constant speed 0.5 m/s. Ignore friction. Calculate the normal force on you and the tension in the rope. (Hint: Draw a force diagram, i.e., all the forces acting on you.) a) Normal force = 382 N, Tension = 220.5 N b) Normal force = 220.5 N, Tension = 382 N

Mass #1 = 75g  Mass #2 = 125g Acceleration #1 = 2.2345 Acceleration #2 = 2.2125 Acceleration #3 = 2.2286 What is the Net Force (theoretical)

Suppose an astronaut has landed on Mars. Fully equipped, the astronaut has a mass of 132 kg. The acceleration due to gravity on Mars is 0.39 m/s2. What is the weight of the astronaut on Mars?

A "doomsday" asteroid with a mass of 1.0 × 1010 kg is hurtling through space. Unless the asteroid's speed is changed by about 0.25 cm/s, it will collide with Earth and cause tremendous damage. Researchers suggest that a small "space tug" sent to the asteroid's surface could exert a gentle constant force of 2.4 N . For how long must this force act?