Answer: Option B) 1038J
Explanation:
Given that
Mass of person (m) = 83kg
kinetic energy (KE) = ?
Speed of elevator (v) = 5m/s
Kinetic energy is the energy possessed by a moving object. It is measured in joules, and depends on the mass (m) of the object and the speed (v) by which it moves
i.e K.E = 1/2mv²
KE = 1/2 x 83kg x (5m/s)²
KE = 0.5 x 83 x 25
KE = 1037.5J (Round the kinetic energy to the nearest whole number as 1038J)
Thus, the kinetic energy of the person is 1038 Joules
Answer:
v = 34.35 m/s
Explanation:
In order to find the speed of the car, when it has traveled 60m, you take into account the Work-Energy theorem, which is given by the following formula:
(1)
W: work done on the roller coaster by the electromagnetic propulsion
m. mass of the roller coaster = 700kg
v2: final speed of the roller coaster = ?
v1: initial speed = 0m/s
you have that the force exerted on the roller depends on x, the distance traveled by the roller. To calculate the work W, you use the following integral:
(2)
where F is given by:
You replace the previous function F in the integral (2) and calculate W:
Next, you solve the equation (1) for v2, and replace the values of all parameters:
The final speed of roller coaster, after it has traveled 60m is 34.35m/s
The product of an object's mass and velocity is B.momentum.
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Convert the units of power,W = 7 hp = 7 * 745.69 = 5219.83 WCalculate the power input to the pump using the efficiency of the pump equationn=Wpump/Wshaft
Substitute 0.82 for n and 5219.83 for Wshaft0.82=Wpump/5219.83 Wpump=0.82*5219.83=4280.26 WCalculate the mass flow ratein=Wpump/(gz_2 )Where g is the acceleration due to gravity, and z_2 is the elevation of water. Substitute 4280.26 for Wpump, 9.81 m/s^2 for g, and 19m for z_2in = 4280.26 / 9.81 * 19 = 22.9640 m^3/sCalculate the volume flow rate of waterV=m/ρWhere ρ is the density of water. Substitute 22.9640 m^3/s for in and 1000 m^3/kg for ρ, we get V = 22.9640 / 1000 = 0.0230 kg/sTherefore, the volume flow rate of water is 0.0230 kg/s
Daniel applies a 30 Newtons force on the ball that sends the ball 300 meters, which gives the work done by Daniel as 9 kJ
<h3>How can the work done be obtained from the given force and distance?</h3>
The given parameters are;
The force with which Daniel hit the ball = 30 Newtons
The distance the ball flew, following the application of the force = 300 meters
Required;
The amount of work done on the ball by Daniel
Solution:
- Work done = Force applied × Distance moved in the direction of the force
Therefore;
The work done by Daniel on the ball, <em>W</em>, can be calculated as follows;
W = 30 N × 300 m = 9000 J = 9 kJ
- The work done by Daniel on the ball is 9 kJ
Learn more about work energy and power here:
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