Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Do not forget the negative sign (-) if needed. Pedro is driving a motorcycle along Espana boulevard. His position X (in meters) at any given time t is given by x(t) = 1.124t2 + 6.022. Pedro's initial position is X = m. His position at ten seconds is X= m. His speed at ten seconds is V= m/s. His acceleration at ten seconds is a = m/s2.
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Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Do not forget the negative sign (-) if needed.
Mr. One is pushing a cart with a force of F1 = 15.00 N due north. Mr. Two is pushing the same cart with a force of F2 = 25.00 N due northeast. Mr. Three is pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that .
First, we calculate the vector sum by component method.
The x-component of is and the y-component is .
The x-component of is and the y-component is .
Adding the components, we can express the resultant vector in unit vector component form:
= +
Since we want to find , it follows that . Thus,
= +
The magnitude of is F3 = N.
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