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Nastasia [14]
2 years ago
3

ll of mass m is thrown vertically upward with an initial speed of v0. It experiences a force of air resistance given by F = -kv,

where k is a positive constant. The positive direction for all vector quantities is upward. The differential equation for determining the instantaneous speed v of the ball in terms of time t as the ball moves upward is
Physics
1 answer:
Tomtit [17]2 years ago
6 0

Answer:

the diferencial equation is

dv(t)/dt + (k/m) v(t) + g = 0

Explanation:

the differential equation for determining the instantaneous speed can be found from Newton's second law:

F= m*a

F drag + F gravity = m*a

(-k*v) + (-m*g) = m*a ,  where g is acceleration due to gravitational force

since a = dv/dt and dividing both sides by m

dv(t)/dt = -g- k/m v(t)

or

dv(t)/dt + (k/m) v(t) + g = 0

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A 1500 kg car is approaching the hill shown in the figure below at 10 m/s when it suddenly runs out of gas.
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1 year ago
Water is to be boiled at sea level (1 atm pressure) in a 30-cm-diameter stainless steel pan placed on top of a 12-kW electric bu
Elan Coil [88]

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We need to find the rate of evaporation of water.

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1 year ago
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1 year ago
Explain in terms of the arrangementbof particles the kinetic theory of matter​
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