Jumping spiders jump by altering the pressure of their body fluid within them, thereby causing their legs to suddenly extend. Suppose a jumping spider of mass 16.5 mg springs off a leaf at an angle of 69.8 degrees with respect to the horizontal. While the spider is pushing off from the leaf, the leaf together with a prevailing breeze, exert on it an average force of 1.8 N in the direction of the jump. If this force does 0.78 mJ of work on the spider, by what length (in mm) do the spider's legs extend while it is taking off? Assume the spider's legs extended in the vertical direction and neglect any difference between the length of the leg extension

Jumping spiders jump by altering the pressure of their body fluid within them, thereby causing their legs to suddenly extend. Suppose a jumping spider of mass 16.5 mg springs off a leaf at an angle of 69.8 degrees with respect to the horizontal. While the spider is pushing off from the leaf, the leaf together with a prevailing breeze, exert on it an average force of 1.8 N in the direction of the jump. If this force does 0.78 mJ of work on the spider, by what length (in mm) do the spider's legs extend while it is taking off? Assume the spider's legs extended in the vertical direction and neglect any difference between the length of the leg extension

Similar questions

A 44-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.5 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar. m
At 11:00 AM on September 7, 2001, more than one million British school children jumped up and down for one minute to simulate an earthquake. (a) Find the energy stored in the children's bodies that was converted into internal energy in the ground and their bodies and propagated into the ground by seismic waves during the experiment. Assume that 1 200 000 children of average mass 30.0 kg jump 10 times each, raising their centers of mass by 27.0 cm each time and briefly resting between one jump and the next. (b) Of the energy that propagated into the ground, most produced high-frequency "microtremor" vibrations that were rapidly damped and did not travel far. Assume 0.01% of the total energy was carried away by long-range seismic waves. The magnitude of an earthquake on the Richter scale is given by log E 4.8 M 1.5 where E is the seismic wave energy in joules. According to this model, what is the magnitude of the demonstration quake? on the Richter scale
An airplane pilot fell to the ground after jumping from an aircraft without his parachute opening. He lands in a snowbank, creating a crater 2.1 m deep, but survived with only minor injuries. Assuming the pilot’s mass was 68 kg and his terminal velocity was 35 m/s (the velocity at the point he stopped accelerating on his way down), what is: a) the average force exerted on him by the snow in bringing him to rest? b) the work done by the snow?
A 7.80-g bullet moving at 560 m/s penetrates a tree trunk to a depth of 5.80 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.
A 100-g bullet is fired from a rifle having a barrel 0.600 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 15 000 + 10 000x − 25 000x2, where x is in meters. (a) Determinethe work done by the gas on the bullet as the bullet travels the length of the barrel. (b) What If? If the barrel is 1.00 m long, how much work is done, and (c) how does this value compare with the work calculated in part (a)?
true or false? When an object slides across a surface and comes to a stop, the amount of energy removed is equal to the amount of work performed by friction.
A 58-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.4 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar. ____m
A 41-kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1.5 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar. m
A 98 kg bicyclist traveling 15 m/s coasts up a 5 m high incline. After reaching the top of the incline, their speed has been reduced to 2 m/s. How much thermal energy from friction was lost between the two points given?
Scenario: Some Marines are lowering a 170 kg sled loaded with ammunition down a hill, when the rope breaks and the sled begins sliding uncontrolled. Beginning with a speed of 1.9 m/s, the sled loses 4.3 meters of elevation before coming to a stop. Question: How much thermal energy (in joules) was generated in the sled and the hill during the slide?
A 7.80-g bullet moving at 650 m/s penetrates a tree trunk to a depth of 5.80 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (Enter the magnitude.) N (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.
A student spends part of his day walking between classes, during which time he expends energy at an average rate of 525 W. The remainder of the day he is sitting in class, studying in library, or resting during break; during these activities, he expends energy at an average rate of 178 W. If he expends a total of 8.3 x10^7 J energy in a 24-hour day, how much of the day did he spend walking?