Calculate the acceleration ( a ) and distance (s ) covered by the jeep.
We will first calculate the acceleration of the jeep.
CASE 1 :
By Using first equation of motion ,
Thus,the acceleration of the jeep is 50 m/s².
Now, Let us calculate the distance travelled by the jeep.
CASE 2 :
By Using third equation of motion ,
Thus,the distance covered by the jeep is 36 m .
The expression for the bullet's speed vbullet is and the speed of a 9.0 g bullet is v=16.8 m/s
A bullet of mass m is fired into a block of mass m that is at rest. the block, with the bullet embedded, slides distance d across a horizontal surface. the coefficient of kinetic friction is μk.
The initial kinetic energy of the bullet is given by
where
m is the mass of the bullet
v is the initial speed of the bullet
The expression for the bullet's speed vbullet is
where
is the coefficient of kinetic friction
g is the acceleration of gravity
The work done by the force of friction is
where d is the displacement of the block+bullet.
Because the final kinetic energy is zero (the bullet with the block comes at rest), we can write:
And so
By solving for v, the solution for the bullet speed:
The speed of a 9.0 g bullet that, when fired into a 12 kg stationary wood block causes the block to slide 5.4 cm across a wood table. Assume that k=0.20.
We have:
the mass of the bullet, m = 9.0 g = 0.009 kg
the mass of the block, M = 12 kg
the distance covered by the block+bullet, d = 5.4 cm = 0.054 m
the coefficient of friction,
the acceleration of gravity,
By substituting, we got
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Answer:
the answer is =2.96 x10^-11 N
Explanation:
Answer: 20 minutes
Explanation:
Given the following :
Average speed of train = 120km/hr
Distance = 40km.
The time take by the train moving at an average speed of 120km/hr to cover a distance of 40km due is ;
Recall:
Speed = distance / time
Therefore,
Time taken = distance covered / speed
Time taken = 40km / 120km/hr
Time taken = 1/ 3 hr
Therefore, 1/3 rd of an hour equals
1/3 × 60 = 20 minutes.
Time taken) 20 minutes
Time taken by tain to cover distance is 20 minutes as:
Distance= 40 km
Speed= 120 km/h
Time= distance/speed
= 40/120
= 1/3 hour
= 20 min
or =0.33 hrs
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The buoyant force on an object submerged in a fluid is equal to the density of the fluid it displaces.
According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid displaced by the object. The weight of the displaced fluid is directly proportional to the volume of the fluid displaced and the density of the fluid. So, the buoyant force (B) can be mathematically represented as:
B = ρ * V * g
Where:
ρ (rho) is the density of the fluid,
V is the volume of the fluid displaced by the object, and
g is the acceleration due to gravity.
The key point to remember is that the buoyant force acts in the opposite direction to gravity. If the object's weight is less than the buoyant force, it will float; if it is greater, it will sink.
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