Answer:
The direction of the car’s change in linear momentum is 149.04° West of North
Explanation:
Momentum is defined as the product of mass of a body and its velocity
Momentum = mass × velocity
Change in Momentum = mass × change in velocity
∆P = m∆v
∆P = m(v-u)
Given m = 1500kg
v = 25m/s
u = 15m/s
∆P = 1500(25-15)
∆P = 1500×10
∆P = 15,000kgm/s
Since the car first travels due East i.e +x direction
x = 25m/s
Travelling due south is negative y direction
y = -15m/s
Direction of the car change
θ = tan^-1(y/x)
θ = tan^-1(-15/25)
θ = tan^-1(-0.6)
θ = -30.96°
Since tan is negative in the second quadrant
θ = 180-30.96
θ = 149.04°
The direction of the car’s change in linear momentum is 149.04° West of North
Answer:
The answer is 631.157
Explanation:
The question requested that the answer to the subtraction of 26.543 from 657.70 must be written using significant figures.
Here are a few tips about how to Identify significant figures.
1) It should be noted that <u>the number "0" is what is usually (but not always) affected</u> while trying to identify significant figures. Hence, <u>all other numbers/digits are always significant</u>. For example, 26.543 has five significant figures.
2) The zeros found between these "other numbers/digits" are also significant. For example, 2202 has four significant figures.
3) In the case of a decimal, the tailing zeros or the final zero is also significant. 657.70 and 657.07 have five significant figures.
Now, back to the question
657.70 - 26.543 = 631.157.
Our final answer does not have a zero, hence all the digits (six) are significant.
Answer:
555
Explanation:
The scenario is shown in the image attached below. A Right Angled Triangle is formed. We have an angle of 6 degrees, the side adjacent to angle which measures 1 mile and we need to find the side opposite to the angle.
Since 1 mile = 5280 feet, the side adjacent to the angle has a measure of 5280 feet.
Tangent ratio relates the opposite and adjacent side by following formula:
Using the given values, we get:
Thus, rounded to nearest foot, the height of the building is 555 feet
Answer:
The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. ... It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.
Explanation:
Force = mass * acceleration. Therefore, given the force of 120 N and the mass of 46 kg:
120 N = 46 kg * acceleration
120 kg-m/s^2 = 46 kg * acceleration (in m/s^2)
acceleration = 120/46 = 2.61 m/s^2
