Explanation:
pressure=density of water × gravity ×height
=1000×9.8×20=196,000N/m^2
=196000/1000=196kpa which is almost 200kpa
Answer:
15.64 KN
Explanation:
Given
Mass of the elevator = 1.70 × 10³ kg = 1700 kg
acceleration of the elevator = - 0.6 m/s²
Tension in the cable = ?
The free body diagram is given in the attached image
The net force acting on a body accelerates the body in the same direction as that in which the resultant is applied.
Force balance,
ma = T - mg
1700 (-0.6) = T - (1700×9.8)
T = 16660 - 1020 = 15640 N = 15.64 KN
Answer:
1.242 m/s
Explanation:
Given that
Mass of the bullet, m(b) = 8 kg.
Mass of the pendulum, m(p) = 2.5 kg
Height of the pendulum, h = 6 cm
Initial speed of the bullet, v = ?
Assuming that Energy is conserved, using law of conservation of energy, we have
Potential Energy = Kinetic Energy
mgh = 1/2mv²
1/2mv² = [m(b) + m(p)] gh
1/2 * 8 * v² = (8 + 2.5) * 9.8 * 0.06
4 v² = 10.5 * 0.588
4 v² = 6.174
v² = 6.174 / 4
v² = 1.5435
v = √1.5435
v = 1.242 m/s
Thus, the initial speed of the bullet is 1.242 m/s
<em>g</em> is the vector (6, 3), since it starts at the origin and terminates at the point (6, 3).
We can write this as a sum of the scaled unit vectors (1, 0) and (0, 1),
(6, 3) = (6, 0) + (0, 3)
where (6, 0) is the <em>x</em>-component of <em>g</em> and (0, 3) is the <em>y</em>-component. The lengths of these component vectors are clearly 6 and 3, respectively.