What is the speed ratio (vA/vB) if particle A has 7 times the kinetic energy and half the mass of particle B? 0.267 1.87 3.74 2.65
Question
Solution
The kinetic energy (KE) of a particle is given by the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity of the particle.
Given that particle A has 7 times the kinetic energy of particle B, we can write:
7 * (1/2 * mB * vB^2) = 1/2 * mA * vA^2
Given that particle A has half the mass of particle B, we can substitute mA = 1/2 * mB into the equation:
7 * (1/2 * mB * vB^2) = 1/2 * (1/2 * mB) * vA^2
Solving for vA/vB gives:
vA/vB = sqrt(14) = 3.74
So, the speed ratio (vA/vB) is 3.74.
Similar Questions
A car with mass 450 kg has a kinetic energy of 16,256 J. What is the speed of the car?A.11.2 m/sB.1.2 m/sC.8.5 m/sD.5.9 m/s
An object of mass 6 kg has a speed of 5 m/s. Determine the kinetic energy of this object.
A boy is running with a kinetic energy of 810 J. If the boy has a mass of 80 kg, what is his speed?A.10.1 m/sB.3.2 m/sC.4.5 m/sD.6.2 m/s
A 1690 kg car travels at a speed of 13.5 m/s. What is its kinetic energy? Assume that air resistance is negligible.
A racing car has a mass of 1540 kg. What is its kinetic energy if it has a speed of 105 km/h? Assume that air resistance is negligible.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.