Answer:
0.25m/s^2
Explanation:
Acceleration= Change in velocity / time
= 2 - 0 / 8
= 2 /8
= 0.25
solution:
write the coordinates of the points A and B
A= (0,0,14)ft
B= (5,-6,0)ft
write the position vector of a with recpect to b
R_{BA}=(0-5)i+(0-(-6))j+(14-0)k
=-5i+6k+14k
calculation of a magnitude of the vector R_{BA}
\left | R_{BA} \right |=\sqrt{(-5)^2+6^2+14^2}
=\sqrt{25+36+196}
=16.031ft
calculation of the unit vector
\frac{-5i+6k+14k}{16.031}
calculation of the force
F_{BA}=R_{BA}U_{BA}
here, F_{BA} is the magnitude of the force.
substitute 350lb for F_{BA} and (\frac{-5i+6k+14k}{16.031}) for U_{BA}.
F_{BA} = 350 x (\frac{-5i+6k+14k}{16.031})
=-109.2i+131j+305.7k lb
9*
m
Explanation:
Step 1:
We are given the initial length of the Pyrex glass dish at a particular temperature and need to calculate the change in the length when the temperature changes by 120° C. The coefficient of linear expansion of Pyrex is provided.
Step 2:
Change in length = Coefficient of linear expansion * Change in temperature * Initial length
Step 3:
Coefficient of linear expansion = 3*
/°C
Change in temperature = 120°C = 120 K
Initial length = 0.25 m
Step 4:
Change in length = 3* * 120 * 0.25 = 9* m
Force between two object is given by F = Gm1m2/r^2
<span>If the mass of one object is tripled, and the distance between them is doubled,</span>
then F(new) = Gm13m2/(2r)^2 = 3Gm1m2/4r^2 = 3/4 x Gm1m2/r^2 = 3/4 x F
i.e. F(new) = 3/4 multiplied by F.
Therefore, Force is multiplied by 3/4.
Answer:
(A) 10052.2 m/s²
(B) 0.00678 seconds
Explanation:
From the question,
(A) Applying
V² = U²+2as..................... Equation 1
Where V = Final velocity, U = Initial velocity, a = acceleration due to gravity, s = distance.
make a the subject of the equation
a = (V²-U²)/2s........................ Equation 2
Given: U = 0 m/s( from rest), V = 68 m/s, s = 0.230 m
Substitute these values into equation 2
a = (68²-0²)/(2×0.230)
a = 10052.2 m/s²
(B) Using,
a = (V-U)/t......................... Equation 3
Where t= time.
make t the subject of the equation
t = (V-U)/a......................... Equation 4
Given: V = 68 m/s, U = 0 m/s, a = 10052.2
Substitute into equation 4
t = (68-0)/10052.2
t = 0.00678 seconds
