Answer:
Same direction to produce maximum magnitude and opposite direction to produce minimum magnitude
Explanation:
Let a be the angle between vectors A and B. Generally when we add A to B, we can split A into 2 sub vectors, 1 parallel to B and the other perpendicular to B.
Also let A and B be the magnitude of vector A and B, respectively.
We have the parallel component after addition be
Acos(a) + B
And the perpendicular component after addition be
Asin(a)
The magnitude of the resulting vector would be
As A and B are fixed, the equation above is maximum when cos(a) = 1, meaning a = 0 degree and vector A and B are in the same direction, and minimum with cos(a) = -1, meaning a = 180 degree and vector A and B are in opposite direction.
Answer:
Speed is greater in trial 2
Explanation:
"<em>Indicate whether the speed of the block relative to the table when the block reaches the bottom of the plane is greater in trial 1 or trial 2.</em>"
The initial potential energy of the block is converted into kinetic energy, with no work done by friction.
In Trial 1, the ramp is free to move, so both the block and the ramp have kinetic energy.
PE = KE + KE
mgh = ½ mv₁² + ½ Mv²
In Trial 2, the ramp is fixed, so only the block has kinetic energy.
PE = KE
mgh = ½ mv₂²
Setting the expressions equal:
½ mv₁² + ½ Mv² = ½ mv₂²
Therefore, v₂ must be greater than v₁.
Acceleration is the
rate of change of velocity, a body moving with uniform velocity does not
possess acceleration at all i.e. acceleration is zero
Answer: The work done is 245000 J.
Explanation:
The formula for the force due to the weight of the object is as follows;
Here, m is the mass of the object and g is the acceleration due to gravity.
Put m=500 kg and g=9.8 meter per second.
The formula for the work done is as follows;
Here, F is the force and s is the displacement.
Put F=4900 N and s=50.0 m.
Therefore, the work done is 245000 J.
B. human activity
because humans cause deforestation and cut down many acres of trees every year which is a devastating problem