Answer:
Explanation:
We need to supply 5 Nm to the bolt.
If we have a force of 25 N in the direction (2*i - 3*j), the torque is related to the length of the wrench.
T = F * d
d = T / F
d = 5 / 25 = 0.2 m
Assuming the wrench is perpendicular to the force.
The vector of the force is:
This is a countr-clockwise direction. If the bolt is right handed (most are) we are tightening it.
Answer:
Explanation:
The expression for the trigonometric function is :
L(t) = A (cos (B(t - C)))+ D ----- equation (1)
where ;
A = 0.125
D =
D = 0.125
Period of the lunar cycle = 29.53
Then;
Also; we known that December 25 is 7 days before January 1.
Then L(-7) = 0.025
Plugging all the values into trigonometric function ; we have:
The unit 'mb' means millibar which is equivalent to 1/1000 of 1 bar. To convert the units from bar to atmospheres (atm) and to inches Hg (inHg), we need to know the conversion factors.
a.) 1 atm = 1.01325 bar
0.92 mb(1 bar/1000 mbar)(1 atm/1.01325 bar) =<em> 9.08×10⁻⁴ atm</em>
b.) 1 bar = 29.53 inHg
0.92 mb(1 bar/1000 mbar)(29.53 inHg/1 bar) =<em> 0.027 inHg</em>
Answer:
F = - 3.56*10⁵ N
Explanation:
To attempt this question, we use the formula for the relationship between momentum and the amount of movement.
I = F t = Δp
Next, we try to find the time that the average speed in the contact is constant (v = 600m / s), so we say
v = d / t
t = d / v
Given that
m = 26 g = 26 10⁻³ kg
d = 50 mm = 50 10⁻³ m
t = d/v
t = 50 10⁻³ / 600
t = 8.33 10⁻⁵ s
F t = m v - m v₀
This is so, because the bullet bounces the speed sign after the crash is negative
F = m (v-vo) / t
F = 26*10⁻³ (-500 - 640) / 8.33*10⁻⁵
F = - 3.56*10⁵ N
The negative sign is as a result of the force exerted against the bullet