Something weighing 1.4 tonnes moving at 40 miles per hour crashes into a wall. What is the force of the impact?
(and can you show me how to work out similar questions please?)
2006-09-08 04:48:43 · 8 answers · asked by Xan 3 in Science & Mathematics ➔ Mathematics
It's a Rhino. The Rhino (which weighs 1.4 tonnes) has been running for 50 metres when it hits a brick wall head on. What's the force in tonnes that it hits the wall with?
2006-09-08 06:05:36 · update #1
Force = mass x acceleration.
What you would have to estimate is how long it would take for the object to come to a complete stop after hitting the wall. Say .1 seconds. or 2.78e-5 hours. (.0000278). Divide velocity by the estimated time for the object to come to a stop and you will have the accelteration of the object. 1,440,000 miles /hour/hour in this example. Then multiply by the mass and convert to the desired units.
Any basic physics text books will have this problem and probably several variations of it along with examples.
2006-09-08 05:05:19 · answer #1 · answered by Bryan M 2 · 0⤊ 0⤋
A second method would be to work out the momentum which in this example is 1.4*1000*(40 miles /hour converted to m/s)
Force is the rate of change of momentum; hence the time for the object to stop totally must be known. An underlying assumption is that the force has a constant value.
But how does one find out the duration of the impact?
2006-09-08 12:19:50 · answer #2 · answered by rabi k 2 · 0⤊ 0⤋
Speed = 40 miles/hr
Mass = 1.4 tonnes
Force of Impact = Mass x speed
= 1.4 x 40 = 56 tonnes miles/hr
2006-09-08 12:20:05 · answer #3 · answered by Amar Soni 7 · 0⤊ 0⤋
Since F = ma
and 1 tonne = 1000kg (therefore 1.4 tonnes = 1400kg)
and using a = 64400m/s
So F = ma
F = (1400)(64400)
= 90160000 N/m
2006-09-08 12:05:33 · answer #4 · answered by Shadow 3 · 0⤊ 0⤋
The formula for Force is
F = m.a.cosB
where, F is force
m is mass (not weight)
a is accelleration
B is the angle between the direction of the force applied and the resultant movement
Mostly, B is taken to be 0, hence cosB = 1, and the formula simplifies to F = m.a
2006-09-08 12:02:38 · answer #5 · answered by inder 1 · 0⤊ 0⤋
You can not know the force of the impact because you are not given enough information. For example, if you knew that the impact itself lasted .1 seconds then you could say what forces were in involved--you have not been provided the duration of the impact so you don't really know.
2006-09-08 14:54:40 · answer #6 · answered by bruinfan 7 · 0⤊ 0⤋
E = 1/2 M V(SQUARED)
E = 1/2 X 1.4 X 2000/32.2 X 40 X 5280 /60 X 60
ANSWER IS IN FT-POUNDS
THEORITICAL NSTANTANEOUS COLLISION FORCE IS INFINITE
2006-09-08 12:19:50 · answer #7 · answered by WOLFGANG 2 · 0⤊ 0⤋
F=m*a.....Force equals mass times accelleration.
2006-09-08 11:55:58 · answer #8 · answered by swilliamrex 3 · 0⤊ 0⤋